Measuring tree height is not an easy task. How well does trunk diameter predict tree height? A...
Question:
Measuring tree height is not an easy task. How well does trunk diameter predict tree height?
A survey of 958 live trees in an old-growth forest in Canada provides us with the following information:
The mean tree height is 15.6 meters (m), with standard deviation 13.4m; the mean diameter, measured at "breast height" (1.3 aboveground), is 23.4 centimetres (cm), and the standard deviation is 23.5 cm. The correlation between the height and diameter is very high: r=0.96.
(a) What are the slope and intercept of the regression line to predict tree height from trunk diameter? Draw a graph of this regression line.
(b) The tree diameters ranged from 1 to 101 cm. Predict the height of a tree in this area that is 50 cm in diameter at breast height. Use r2 to assess the reliability of this prediction.
Regression Line
The regression line is used to predict the future value of the independent variable and the value of dependent value is found by substitute the value of independent value in the regression equation. As the value correlation coefficient increases the relationship between variable strong.
Answer and Explanation: 1
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The number of trees is 958, mean tree height is 15.6 meters, standard deviation is 13.4m, the mean diameter is 23.4 cm, and...
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Regression Analysis: Definition & Examples
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Chapter 21 / Lesson 4
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Regression analysis is used in graph analysis to help make informed predictions on a bunch of data. With examples, explore the definition of regression analysis and the importance of finding the best equation and using outliers when gathering data.
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